Question

If x-1/×=7,find ×^4+(1/×)^4
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Answer 1

Answer:

2599

Step-by-step explanation:

x - 1/x = 7

by squaring both sides, we get

(x - 1/ x)^2 = (7)^2

x^2 + 1/x^2 - 2(x) (1/x) = 49

x^2 + 1/x^2 - 2 = 49

x^2 + 1/x^2 = 49 + 2

x^2 + 1/x^2 = 51

again, by squaring both sides, we get

(x^2 + 1/x^2)^2 = (51)^2

x^4 + 1/x^4 + 2(x^2) (1/x^2) = 2601

x^4 + 1/x^4 + 2= 2601

x^4 + 1/x^4 = 2601 - 2

x^4 + 1/x^4 = 2599

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|| Your Answer : 2599 ||

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